Noise and time delay: Suppressed population explosion of the mutualism systemL. R. Nie1, 2 and D. C. Mei1
1 Department of Physics, Yunnan University - Kunming 650091, China
2 Science School, Kunming University of Science and Technology - Kunming 650051, China
received 11 march 2007; accepted in final form 11 June 2007; published July 2007
published online 10 July 2007
We have analyzed effects of noise and time delay in a classical Lotka-Volterra model of mutualism system. We show that the consideration of the noise and the time delay change drastically the behavior of the system in the deterministic case. To a certain degree, the noise or the time delay can suppress the population explosion of the mutualism system, which takes place in the deterministic case, however, the average species population of system with only the noise or the time delay does not converge. Combination of the noise and the time delay completely suppress the population explosion of the mutualism system.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
02.50.-r - Probability theory, stochastic processes, and statistics.
87.23.-n - Ecology and evolution.
© Europhysics Letters Association 2007